Let be thick affine building of type the Laplace operators of ; associated with a pair ; is the Poisson transform of a suitable finitely additive measure on the maximal boundary of ; by using only the combinatorial structure of .
@article{BUMI_2009_9_2_2_483_0,
author = {A. M. Mantero and A. Zappa},
title = {Eigenfunctions of the Laplace Operators for a Building of Type $\widetilde{G}\_{2}$},
journal = {Bollettino dell'Unione Matematica Italiana},
volume = {2},
year = {2009},
pages = {483-508},
zbl = {1181.43004},
mrnumber = {2537284},
language = {en},
url = {http://dml.mathdoc.fr/item/BUMI_2009_9_2_2_483_0}
}
Mantero, A. M.; Zappa, A. Eigenfunctions of the Laplace Operators for a Building of Type $\widetilde{G}_{2}$. Bollettino dell'Unione Matematica Italiana, Tome 2 (2009) pp. 483-508. http://gdmltest.u-ga.fr/item/BUMI_2009_9_2_2_483_0/
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